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Finding the Third Proportional to 728,934 and 1,577,676

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Solution

The third proportional to 728,934 and 1,577,676 is: 3,414,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,934 : 1,577,676 = 1,577,676 : x
  2. Step 2: Convert to fraction form
    728,934/1,577,676 = 1,577,676/x
  3. Step 3: Cross multiply
    728,934x = 1,577,676 × 1,577,676
  4. Step 4: Simplify right side
    728,934x = 2,489,061,560,976
  5. Step 5: Solve for x
    x = 2,489,061,560,976/728,934
  6. Step 6: Final answer
    x = 3,414,659.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.